Finding the Third Proportional to 227,824 and 499,524

Step by Step Solution

1. Step 1: Write the proportion equation
   227,824 : 499,524 = 499,524 : x
2. Step 2: Convert to fraction form
   227,824/499,524 = 499,524/x
3. Step 3: Cross multiply
   227,824x = 499,524 × 499,524
4. Step 4: Simplify right side
   227,824x = 249,524,226,576
5. Step 5: Solve for x
   x = 249,524,226,576/227,824
6. Step 6: Final answer
   x = 1,095,249.96